Fault-partition-dependent fault-tolerant control for T-S fuzzy time-delay systems

This paper proposes a new approach to investigate the fault-tolerant control problem for T-S fuzzy systems with actuator faults. By using the fault partition idea, a switched system model about fault levels is formulated. Suppose the transition of fault levels cannot be detected instantaneously, an asynchronous switching fuzzy controller depending on fault levels is put forward. Then a fault-partition-dependent stability criterion is derived by combining the Lyapunov stability theory, the convex combination technique, the free-weighting technique and the average dwell time approach. The fault tolerant controller is designed in terms of linear matrix inequalities, which guarantees the faulty system is exponentially stable. A numerical example is given to illustrate the effectiveness of the proposed methods.